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Leni [432]
3 years ago
10

Suppose you invested $1500 in an ac count that paid an annual of 3% compound monthly. How much would you have after 1 year

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Answer:

1545.62

Step-by-step explanation:

The calculation of compound interests uses this formula:

<h2>A = P (1 + \frac{r}{n} )^{n*t}</h2>

Where  A = total amount, P = principal or amount of money deposited, r = annual interest rate, n = number of times compounded per year  and t = time in years.

So, if we plug-in the numbers of the problem we have:

<h2>A = 1500 (1 + \frac{0.03}{12} )^{12*1}</h2>

Which gives us:

A = 1500 * 1.0025^{12} = 1500 * 1.030416 = 1545.62

For a grand total of 1,545.62 including capital and interests.

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The difference between two numbers is 4. Three times the larger is 2 more than five times the smaller. Find the numbers.
Vitek1552 [10]

Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given 
Now we can just substitute; let x=4+y 
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11 
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Elanso [62]

Answer:

Area of Living Room = 300 square feet

Step-by-step explanation:

According to question ,

The area of bathroom = 35 square feet

And it is mention that area of bathroom is 25 sqft less than \frac{1}{5} area of living room .

Thus , as per question ,

Area of bathroom = \frac{1}{5} times area of living room - 25 sqft

Or, 35 sqft = \frac{1}{5} times area of living room - 25 sqft

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